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Finding the Third Proportional to 64.86 and 141.91

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Solution

The third proportional to 64.86 and 141.91 is: 310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.86 : 141.91 = 141.91 : x
  2. Step 2: Convert to fraction form
    64.86/141.91 = 141.91/x
  3. Step 3: Cross multiply
    64.86x = 141.91 × 141.91
  4. Step 4: Simplify right side
    64.86x = 20,137.94
  5. Step 5: Solve for x
    x = 20,137.94/64.86
  6. Step 6: Final answer
    x = 310.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.